Explanation The given function is f ( x ) = 1 ln x and the interval is ( 1 , ∞ ) . Note that, the function ln x is continuous on the interval ( 0 , ∞ ) . Now, consider the function 1 ln x . It is known that, the function ln x = 0 at x = 1 only. This implies that, the function 1 ln x not defined at x = 1 only

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Chapter 5.2, Problem 63E

To determine

Whether the statement “The function f(x)=1lnx is continuous on interval (1,∞) ” is true or false; if it is true, explain it or give an example if it is false.

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Chapter 5.2, Problem 62E

Chapter 5.2, Problem 64E

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Whether the statement “The function f ( x ) = 1 ln x is continuous on interval ( 1 , ∞ ) ” is true or false; if it is true, explain it or give an example if it is false.

Solution Summary: The author analyzes whether the statement "The function f(x)=1mathrmlnx" is true or false.

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Whether the statement “The function f(x)=1lnx is continuous on interval (1,∞) ” is true or false; if it is true, explain it or give an example if it is false.

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